Fabíolo Moraes Amaral

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All published works

Action	Title	Year	Authors
+ PDF Chat	Conexão de Equilíbrios e Órbitas Fechadas Hiperbólicas na Fronteira da Região de Estabilidade de Sistemas Dinâmicos Não Lineares	2023	Luís Alberto Fabíolo Moraes Amaral
+ PDF Chat	Bifurcações do Tipo Hopf da Região de Estabilidade de Sistemas Dinâmicos Autônomos Não Lineares	2018	Josaphat R. R. Gouveia Fabíolo Moraes Amaral Luís Alberto
+	Bifurcations and Stability Regions of Nonlinear Dynamical Systems	2017	Luís Alberto Fabíolo Moraes Amaral Josaphat R. R. Gouveia
+	Saddle-node equilibrium points on the stability boundary of nonlinear autonomous dynamical systems	2017	Fabíolo Moraes Amaral Luís Alberto Josaphat R. R. Gouveia
+ PDF Chat	Subcritical Hopf Equilibrium Points in Boundary of the Stability Region	2016	Josaphat R. R. Gouveia Fabíolo Moraes Amaral Luís Alberto
+ PDF Chat	Bifurcações Sela-Nó da Região de Estabilidade de Sistemas Dinâmicos Autônomos não Lineares	2016	Fabíolo Moraes Amaral Luís Alberto
+ PDF Chat	Pontos de Equilíbrio Hopf Subcríticos na Fronteira da Região de Estabilidade	2015	Josaphat R. R. Gouveia Fabíolo Moraes Amaral Luís Alberto
+	Supercritical Hopf equilibrium points on the boundary of the stability region	2013	Josaphat R. R. Gouveia Luís Alberto Fabíolo Moraes Amaral
+	STABILITY BOUNDARY CHARACTERIZATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS IN THE PRESENCE OF A SUPERCRITICAL HOPF EQUILIBRIUM POINT	2013	Josaphat R. R. Gouveia Fabíolo Moraes Amaral Luís Alberto
+ PDF Chat	Characterization of saddle-node equilibrium points on the stability boundary of nonlinear autonomous dynamical system	2013	Fabíolo Moraes Amaral Josaphat Ricardo Ribeiro Gouveia Júnior Luís Alberto
+ PDF Chat	Stability Boundary Characterization of Nonlinear Autonomous Dynamical Systems in the Presence of Saddle-Node Equilibrium Points	2012	Fabíolo Moraes Amaral Luís Alberto
+	Caracterização, estimativas e bifurcações da região de estabilidade de sistemas dinâmicos não lineares	2010	Fabíolo Moraes Amaral
+	Stability region bifurcations of nonlinear autonomous dynamical systems: Type-zero saddle-node bifurcations	2010	Fabíolo Moraes Amaral Luís Alberto
+ PDF Chat	Stability boundary characterization of nonlinear autonomous dynamical systems in the presence of a type-zero saddle-node equilibrium point	2010	Fabíolo Moraes Amaral L. F. C. Alberto N. G. Bretas
+	Characterization of the stability boundary of nonlinear autonomous dynamical systems in the presence of a saddle-node equilibrium point of type 0	2009	Fabíolo Moraes Amaral Luís Alberto N.G. Bretas
+	Estimativas ótimas para certos teoremas generalizados de Borsuk-Ulam e Ljusternik-Schnirelmann.	2005	Fabíolo Moraes Amaral

Common Coauthors

Coauthor	Papers Together
Luís Alberto	13
Josaphat R. R. Gouveia	7
N. G. Bretas	1
N.G. Bretas	1
Josaphat Ricardo Ribeiro Gouveia Júnior	1
L. F. C. Alberto	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On Morse-Smale dynamical systems	1969	Jacob Palis	14
+	Stability region bifurcations of nonlinear autonomous dynamical systems: Type-zero saddle-node bifurcations	2010	Fabíolo Moraes Amaral Luís Alberto	9
+	Generic Bifurcations of Dynamical Systems††AMS (MOS) 1970 SUBJECT CLASSIFICATION: 58F99.	1973	Jorge Sotomayor	9
+	Foundations of direct methods for power system transient stability analysis	1987	Hsiao‐Dong Chiang F. Wu Pravin Varaiya	8
+	STABILITY BOUNDARY CHARACTERIZATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS IN THE PRESENCE OF A SUPERCRITICAL HOPF EQUILIBRIUM POINT	2013	Josaphat R. R. Gouveia Fabíolo Moraes Amaral Luís Alberto	8
+ PDF Chat	Stability regions of nonlinear autonomous dynamical systems	1988	Hsiao‐Dong Chiang Morris W. Hirsch F.F. Wu	8
+ PDF Chat	Differentiable dynamical systems	1967	Stephen T. Smale	8
+	Differentiable Dynamical Systems	1980	Steve Smale	7
+ PDF Chat	Stability Boundary Characterization of Nonlinear Autonomous Dynamical Systems in the Presence of Saddle-Node Equilibrium Points	2012	Fabíolo Moraes Amaral Luís Alberto	6
+	Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields	1983	John Guckenheimer Philip Holmes	5
+ PDF Chat	Invariant manifolds	1970	M. W. Hirsch Charles Pugh M. Shub	5
+	Stability Regions of Nonlinear Dynamical Systems: Theory, Estimation, and Applications	2015	Hsiao‐Dong Chiang Luís Alberto	5
+	Foundations of the potential energy boundary surface method for power system transient stability analysis	1988	Hsiao‐Dong Chiang F.F. Wu Pravin Varaiya	4
+	UNIFORM APPROACH FOR STABILITY ANALYSIS OF FAST SUBSYSTEM OF TWO-TIME SCALE NONLINEAR SYSTEMS	2007	Luís Alberto Hsiao‐Dong Chiang	4
+ PDF Chat	Elements of Applied Bifurcation Theory	2004	Yuri A. Kuznetsov	4
+	Structural Stability and Bifurcation Theory††AMS (MOS) 1970 SUBJECT CLASSIFICATION: 34D30.	1973	Jorge Sotomayor	4
+ PDF Chat	Differential Equations and Dynamical Systems	1991	L. M. Perko	3
+	Quasi-stability regions of nonlinear dynamical systems: optimal estimations	1996	Hsiao-Dong Chiang Lazhar Fekih‐Ahmed	3
+ PDF Chat	Stability boundary characterization of nonlinear autonomous dynamical systems in the presence of a type-zero saddle-node equilibrium point	2010	F.M. Amaral L. F. C. Alberto N. G. Bretas	3
+	Smooth perturbation on a classical energy function for lossy power system stability analysis	2005	F.H.J.R. Silva Luís Alberto J. London N.G. Bretas	3
+ PDF Chat	Stability boundary characterization of nonlinear autonomous dynamical systems in the presence of a type-zero saddle-node equilibrium point	2010	Fabíolo Moraes Amaral L. F. C. Alberto N. G. Bretas	3
+	GEOMETRIC THEORY OF DYNAMICAL SYSTEMS: An Introduction	1983	Stuart Robertson	2
+	Supercritical Hopf equilibrium points on the boundary of the stability region	2013	Josaphat R. R. Gouveia Luís Alberto Fabíolo Moraes Amaral	2
+	Theoretical foundation of the BCU method for direct stability analysis of network-reduction power system. Models with small transfer conductances	1995	Hsiao-Dong Chiang Chia‐Chi Chu	2
+	Stability analysis and control of a class of differential‐algebraic nonlinear systems	2004	Daniel Coutinho Alexandre Sanfelice Bazanella Alexandre Trofino A. S. e Silva	2
+ PDF Chat	A BCU method for direct analysis of power system transient stability	1994	Hsiao‐Dong Chiang F.F. Wu Pravin Varaiya	2
+ PDF Chat	Bifurcações Sela-Nó da Região de Estabilidade de Sistemas Dinâmicos Autônomos não Lineares	2016	Fabíolo Moraes Amaral Luís Alberto	2
+ PDF Chat	Subcritical Hopf Equilibrium Points in Boundary of the Stability Region	2016	Josaphat R. R. Gouveia Fabíolo Moraes Amaral Luís Alberto	2
+ PDF Chat	Vector fields near the boundary of a 3-manifold	1988	Jorge Sotomayor M. A. Teixeira	2
+	Stability of nonlinear systems described by a second-order vector differential equation	1988	Hsiao‐Dong Chiang F.F. Wu	1
+	Dynamics and Bifurcations	1991	Jack K. Hale Hüseyin Koçak	1
+ PDF Chat	Characterization of saddle-node equilibrium points on the stability boundary of nonlinear autonomous dynamical system	2013	Fabíolo Moraes Amaral Josaphat Ricardo Ribeiro Gouveia Júnior Luís Alberto	1
+	Direct Methods for Stability Analysis of Electric Power Systems	2010	Hsiao‐Dong Chiang	1
+ PDF Chat	Stability of Dynamical Systems	2018	Nivaldo A. Lemos̀	1
+ PDF Chat	Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields	1984	John Guckenheimer Philip Holmes Marshall Slemrod	1
+	Comments on “Stability Regions of Nonlinear Autonomous Dynamical Systems”	2021	Michael W. Fisher Ian A. Hiskens	1
+	Ordinary Differential Equations	2017	John M. Stewart	1
+	ORDINARY DIFFERENTIAL EQUATIONS	1969	J. B. McLeod	1
+	Stability Region Analysis Using Polynomial and Composite Polynomial Lyapunov Functions and Sum-of-Squares Programming	2008	Weehong Tan Andrew Packard	1
+	On an approximation theorem of Kupka and Smale	1967	M. M. Peixoto	1
+	Differential Equations, Dynamical Systems, and Linear Algebra	1974	Morris W. Hirsch Stephen T. Smale	1
+	Caracterização e estimativas da área de atração de sistemas dinâmicos não lineares.	2010	Luís Alberto	1
+	New techniques for constructing asymptotic stability regions for nonlinear systems	1984	R. Genesio Antonio Vicino	1
+	Global Stability of Dynamical Systems	1987	Michael Shub	1